Question

find remainder when x^3+3x^2+3x is divided by x-2....please guys answer this question fast with explanations ​

Answer 1

Question:

find the remainder when x^3+3x^2+3x is divided by x-2

Answer:

p(2) = 26

Remainder = 26

Step-by-step explanation:

Given:

p(x) = x³ + 3x² + 3x

g(x) = x - 2

To Find:

The remainder of the polynomial.

Procedure:

Let's start by finding zero of the g(x).

$\bf \implies \: x - 2 = 0$

$\implies \sf x = 2$

let's put the value in p(x).

$\implies \bf \: p(x) = {x}^{3} + {3x}^{2} + 3x$

$\implies \sf \: p(2) = {2}^{3} + 3 {(2)}^{2} + 3(2)$

$\implies \sf \: p(2) = 8 + 3 {(4)}^{} + 3(2)$

$\implies \sf \: p(2) = 8 + 12 + 6$

$\implies \sf \: p(2) = 26$

So, Remainder = 26.

Extras:

Polynomial : A variable bases language in maths. or A string of variables and numbers put together.

Degree of polynomial : Highest power of a polynomial is called degree of polynomial.

Coefficient : A number by which a variable is multiplied.

Constant : It's a numerical term holding no variable.

Answer 2

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